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Thepotemich [5.8K]
2 years ago
10

class="latex-formula">

\tt Thanks! :)
Mathematics
2 answers:
Rzqust [24]2 years ago
8 0
X = -3

Solution:
Distribute
6(x)+(6)(-1)+-x=-21

Combine
(6x+-x) + (-6) = -21
5x + -6 = -21
5x - 6 = -21

Add 6 to both sides
5x -6 + 6 = -21 +6
5x = -15

Divide both sides by 5
5x/5 = -15/5
x = -3
zalisa [80]2 years ago
4 0

Step-by-step explanation:

Given that:

6(x - 1) - x = -21

Multiply the number outside of the brackets with numbers in the brackets on LHS.

⇛6x - 6 - x = -21

Shift constant from LHS to RHS, changing it's sign.

⇛6x - x = -21 + 6

Subtract the values on LHS and RHS.

⇛5x = -15

Shift the number 5 from LHS to RHS.

⇛x = -15/5

Therefore x = -3

Please let me know if you have any other questions.

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The expression 6+16k factored using the GCF is what???????
tatiyna

Answer:

2(3 + 8k)

Step-by-step explanation:

given : 6+16k

note that the GCF of 6 and 16 is 2, hence we can factor 2 out of the expression

6+16k

= (2)(3) + (2)(8k)

= 2(3 + 8k)

4 0
3 years ago
The power generated by an electrical circuit (in watts) as a function of its current x xx (in amperes) is modeled by P ( x ) = −
marysya [2.9K]

Given:

The power generated by an electrical circuit (in watts) as a function of its current x (in amperes) is modeled by

P(x)=-15x(x-8)

To find:

The current which will produce the maximum power.

Solution:

We have,

P(x)=-15x(x-8)

P(x)=-15x^2+120x

Differentiate with respect to x.

P'(x)=-15(2x)+120(1)

P'(x)=-30x+120      ...(i)

To find the extreme point equate P'(x)=0.

-30x+120=0

-30x=-120

Divide both sides by -30.

x=4

Differentiate (i) with respect to x.

P'(x)=-30(1)+(0)

P'(x)=-30 (Maximum)

It means, the given function is maximum at x=4.

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7 0
3 years ago
Sally is planning the school picnic and needs to decide what food vendor to
Marizza181 [45]

Answer:0.03

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
V<img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%20%2A%202%5Cfrac%7B1%7D%7B3%7D" id="TexFormula1" title="\frac{3}{4} * 2
myrzilka [38]

Answer:

1\frac{3}{4}

Step-by-step explanation:

In order to find the answer, you first need to convert the mixed number (2 1/3) into a improper fraction and then multiply.

\frac{3}{4} \times2\frac{1}{3}

2\frac{1}{3} =3\times2=6+1=7=\frac{7}{3}

\frac{3}{4} \times\frac{7}{3}

3\times7=21

4\times3=12

=\frac{21}{12} =\frac{7}{4} =1\frac{3}{4}

=1\frac{3}{4}

Hope this helps.

7 0
2 years ago
Robin earned $4,320 in 9 weeks and worked 40 hours in each week. How much did he earn per hour?
quester [9]
Divide 4,320 between 9 and you'll get 408 per week. divide 408 between 40 and you'll get how much he makes per hour
6 0
3 years ago
Read 2 more answers
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